For more information about this meeting, contact Becky Halpenny.
|Title:||"Long-time Behavior of Stochastic Models"|
|Seminar:||Ph.D. Oral Comprehensive Examination|
|Speaker:||Chao Tian, Adviser: Qiang Du, Penn State|
|In this talk, I will present two examples to illustrate the rich long time dynamics
of stochastic models.
The first example is related to fluid-structure interaction (FSI) which appears in many scientific and engineering problems. The stochastic implicit-interface method (SIIM) is designed to account for the microscopic fluctuation in phase-field or level-set models
of FSI. Formulated as a system of non-linear stochastic partial differential equations with a degenerate additive noise term, the SIIM is formally derived using the fluctuation-dissipation theorem. It is interesting to study its long time asymptotic behavior.
The second example is a bi-stable mean-field model whose mathematical analysis, including the study of mean-field limits, existence of multiple equilibria, and
fluctuation theory was initiated by D.A. Dawson et al. Using the large-deviations theory G. Papanicolaou et al. recently studied the dynamical phase-transitions in such systems due to stochastic fluctuation. We consider various generalizations of such mean-field models and study the phase transitions between different equilibria in various settings.|
Room Reservation Information
|Room Number:||104 Osmond|
|Date:||04 / 29 / 2013|
|Time:||01:00pm - 03:00pm|